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Moduli Spaces of Abelian Surfaces : Compactification, Degenerations and Theta Functions - Klaus Hulek

Moduli Spaces of Abelian Surfaces

Compactification, Degenerations and Theta Functions

Hardcover Published: 1st October 1993
ISBN: 9783110138511
Number Of Pages: 359
For Ages: 22+ years old

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The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Botjan Gabrovek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Introduction
Compactified moduli spacesp. 1
Moduli spacesp. 3
Torus embeddings and applicationsp. 14
Toroidal compactification of A(1,p)p. 45
The boundary of A[superscript *](1,p)p. 125
Humbert surfaces and scaffoldingsp. 155
The Satake compactificationp. 184
Degenerations of abelian surfacesp. 191
Mumford's constructionp. 195
The basic construction for surfacesp. 204
Degenerate abelian surfaces (the principally polarized case)p. 215
Degenerate abelian surfaces (the case of (1,p)-polarization)p. 235
Polarizations on degenerate abelian surfacesp. 245
The Horrocks-Mumford mapp. 271
The Horrocks-Mumford bundlep. 274
Construction of the Horrocks-Mumford mapp. 281
Extension of the Horrocks-Mumford map to A(1,5)p. 298
Extension of the Horrocks-Mumford map to A[superscript *](1,5)p. 305
Bibliographyp. 333
Glossary of Notationsp. 337
Indexp. 343
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110138511
ISBN-10: 3110138514
Series: Topics in Sociolinguistics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 359
Published: 1st October 1993
Country of Publication: DE
Dimensions (cm): 24.28 x 17.42  x 2.29
Weight (kg): 0.72